What is the integral from 6 to 13 of ln(x-6) ?

The integral from 6 to 13 of ln(x-6) is 7ln(7)-7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 6 to 13 of ln(x-6)

\int_{6}^{13} ln (x - 6) d x

7 ln (7) - 7

Decimal

6.62137 \dots

Solution steps

\int_{6}^{13} ln (x - 6) d x

Apply u-substitution

= \int_{0}^{7} ln (u) d u

Apply Integration By Parts

= [u ln (u) - \int 1 d u]_{0}^{7}

\int 1 d u = u

= [u ln (u) - u]_{0}^{7}

Compute the boundaries:

7 ln (7) - 7

= 7 ln (7) - 7

What is the integral from 6 to 13 of ln(x-6) ?
The integral from 6 to 13 of ln(x-6) is 7ln(7)-7